Pith Number

pith:5X67H5CT

pith:2013:5X67H5CT6ERJJ4RHHUUFOMZPYV

not attested not anchored not stored refs pending

A note on free paratopological groups

Fucai Lin

arxiv:1302.4193 v1 · 2013-02-18 · math.GN · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5X67H5CT6ERJJ4RHHUUFOMZPYV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:33:23.810823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfdf3f453f12294f2273d2857332fc55076e95b9d801989f50207ab53893e92

Aliases

arxiv: 1302.4193 · arxiv_version: 1302.4193v1 · doi: 10.48550/arxiv.1302.4193 · pith_short_12: 5X67H5CT6ERJ · pith_short_16: 5X67H5CT6ERJJ4RH · pith_short_8: 5X67H5CT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5X67H5CT6ERJJ4RHHUUFOMZPYV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: edfdf3f453f12294f2273d2857332fc55076e95b9d801989f50207ab53893e92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2797cd1f7b391388e0448f92be5a6dea3d32c53703f2c966872d443ccf284181",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-02-18T09:29:00Z",
    "title_canon_sha256": "35311da5d98516041e4adb1eb7297f56090234c19b097a8fa695f5db113fa52c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4193",
    "kind": "arxiv",
    "version": 1
  }
}